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What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?
- a)50%
- b)20%
- c)25%
- d)33.33%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What is the maximum percentage discount that a merchant can offer on h...
The merchant had initially marked her goods up by 50%.
Let us assume that her cost price of the goods to be Rs100.
Therefore, a 50% mark up would have resulted in her marked price being Rs 100 + 50% of Rs 100 = Rs 100 + Rs 50 = Rs 150
The question states that she finally sells the product at no profit or loss.
This essentially means that she sells the product at cost price, which in this case would be Rs 100.
Therefore, she had offered a discount of ` 50 on her marked price of Rs 150.
Hence, the % discount offered by her
= (50/100 × 100) % = 33.33%.
Let us assume that her cost price of the goods to be Rs100.
Therefore, a 50% mark up would have resulted in her marked price being Rs 100 + 50% of Rs 100 = Rs 100 + Rs 50 = Rs 150
The question states that she finally sells the product at no profit or loss.
This essentially means that she sells the product at cost price, which in this case would be Rs 100.
Therefore, she had offered a discount of ` 50 on her marked price of Rs 150.
Hence, the % discount offered by her
= (50/100 × 100) % = 33.33%.
Most Upvoted Answer
What is the maximum percentage discount that a merchant can offer on h...
The maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss can be calculated by considering the concept of selling price, cost price, and profit or loss.
The merchant initially marked her goods up by 50%. This means that the Marked Price (MP) is 150% of the Cost Price (CP). Let's assume the Cost Price is 100 units.
Given:
Marked Price (MP) = 150% of CP
MP = 150 units
To find the maximum percentage discount, we need to determine the Selling Price (SP) at which the merchant sells her goods with no profit or loss. If there is no profit or loss, the Selling Price will be equal to the Cost Price.
Let's assume that the merchant offers a discount of D% on the Marked Price. The Selling Price can be calculated using the formula:
SP = MP - (D% of MP)
Since the Selling Price should be equal to the Cost Price, we can write the equation:
SP = CP
MP - (D% of MP) = CP
Now, substituting the values of MP and CP, we have:
150 - (D% of 150) = 100
Simplifying the equation, we get:
150 - (D/100 * 150) = 100
150 - 1.5D = 100
1.5D = 50
D = 50/1.5
D = 33.33%
Hence, the maximum percentage discount that the merchant can offer on her Marked Price so that she ends up selling at no profit or loss is 33.33%.
The merchant initially marked her goods up by 50%. This means that the Marked Price (MP) is 150% of the Cost Price (CP). Let's assume the Cost Price is 100 units.
Given:
Marked Price (MP) = 150% of CP
MP = 150 units
To find the maximum percentage discount, we need to determine the Selling Price (SP) at which the merchant sells her goods with no profit or loss. If there is no profit or loss, the Selling Price will be equal to the Cost Price.
Let's assume that the merchant offers a discount of D% on the Marked Price. The Selling Price can be calculated using the formula:
SP = MP - (D% of MP)
Since the Selling Price should be equal to the Cost Price, we can write the equation:
SP = CP
MP - (D% of MP) = CP
Now, substituting the values of MP and CP, we have:
150 - (D% of 150) = 100
Simplifying the equation, we get:
150 - (D/100 * 150) = 100
150 - 1.5D = 100
1.5D = 50
D = 50/1.5
D = 33.33%
Hence, the maximum percentage discount that the merchant can offer on her Marked Price so that she ends up selling at no profit or loss is 33.33%.
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What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?a)50%b)20%c)25%d)33.33%Correct answer is option 'D'. Can you explain this answer?
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What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?a)50%b)20%c)25%d)33.33%Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?a)50%b)20%c)25%d)33.33%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?a)50%b)20%c)25%d)33.33%Correct answer is option 'D'. Can you explain this answer?.
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